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3 years ago

BRAINLIEST ASAP! PLEASE HELP ME :)

Mathematics

1 answer:

anzhelika [568]3 years ago

8 0

Answer:

22.3 km²

Step-by-step explanation:

The formula for the area of a circle is

A = πr²

r = ½d, so

A = π(½d)² = ¼πd²

A = ¼ × π × (16/3)² = ¼ × π × 256/9 ≈ 22.3 km²

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the food stand at the zoo sold 2,514 pounds of hamburger last month. how many hamburgers will the food stand sell in 6 months?

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3 years ago

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Help Hurry Please!!!!!!!!!

Sveta_85 [38]

The answer is
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3 years ago

If S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.

Snezhnost [94]

You can try to show this by induction:

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and

$S_k=3\times2^{k-1}+2(-1)^k$

We want to then use this assumption to show the closed form is correct for n = k + 1, or

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From the given recurrence, we know

$S_{k+1}=S_k+2S_{k-1}$

so that

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)$

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}$

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$\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}$

which is what we needed. QED

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3 years ago

Please help! i don't know what to do, my formulas are not working for me. If anyone could please help i would really appreciate

Burka [1]

Answer:

The radius is r = 3 in,
The height is h = 4 in

The area of the base:

A(b) = πr² = π(3²) = 9π in²

The circumference of the base:

C = 2πr = 2π(3) = 6π in

The area of the lateral surface:

A(l) = Ch = 6π(4) = 24π in²

The surface area:

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3 years ago

How many solutions does the equation have?

SSSSS [86.1K]

Let's solve and find out.

4(2n - 4) + 3 = 8n - 19
8n - 16 + 3 = 8n - 19
8n - 13 = 8n - 19
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-13 and -19 are not equal, so the equation has no solutions.

Answer:
A. 0

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3 years ago

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